   Chapter 13.5, Problem 2.1ACP

Chapter
Section
Textbook Problem

If the headspace of a soda is 25 mL and the pressure of CO2 in the space is 4.0 atm (=4.0 bar) at 25 °C, what amount of CO2 is contained in the headspace?

Interpretation Introduction

Interpretation: The amount CO2 contained in the headspace of a soda has to be determined.

Concept introduction:

Ideal gas Equation:

Any gas is described by using four terms namely pressure, volume, temperature and the amount of gas. Thus combining three laws namely Boyle’s, Charles’s Law and Avogadro’s Hypothesis the following equation could be obtained. It is referred as ideal gas equation.

nTPV = RnTPPV = nRT

Explanation

Given data:

V=0.025LP=4atmT=25°C=298K

Substituting the given values of pressure, temperature and volume in Ideal gas equation, the amount of CO2 contained in the headspace of a soda can be calculated.

PV=nRT

4.0atm(0.025L)=n(0.08206L.atm/mol

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